How many four-digit numbers N = abcd satisfy all of the following conditions?
1. 4000 <= N < 6000
2. N is a multiple of 5.
3. N is a multiple of 11.
I assume that by N=abcd, you mean that the 4 digits must be distinct (no repetitions allowed).
4015 , 4125 , 4180 , 4235 , 4290 , 4510 , 4620 , 4675 , 4730 , 4785 , 4895 , 4950 , 5170 , 5280 , 5390 , 5610 , 5720 , 5830 , 5940 , Total = 19 such 4-digit integers.
